论文标题
莫尔斯 - 诺维科夫理论的替代方案是封闭的1形式(ii)
Alternative to Morse-Novikov Theory for a closed 1-form (II)
论文作者
论文摘要
本文延续了莫尔斯·诺维科夫理论的替代封闭的1形式(i),并确定: a)庞加莱二元性的改进到配置$^{bm}δ^ω$和$δ^ω$ resp之间的平等。 $^{bm}γ^ω$和$γ^ω$在互补维度上, b)配置的稳定属性$δ^ω_r,$ a)定理1.2和1.3证明所需的结果。
This paper is a continuation of Alternative to Morse-Novikov Theory for a closed 1-form(I), and establishes: a) a refinement of Poincaré duality to an equality between the configurations $^{BM} δ^ω$ and $δ^ω$ resp. $^{BM} γ^ω$ and $γ^ω$ in complementary dimensions, b) the stability property for the configurations $δ^ω_r,$ a) a result needed for the proof of Theorems 1.2 and 1.3 stated the paper mentioned above.